Abstract: Linear time-invariant (LTI) interconnected distributed-time-delay systems (DTDSs) are considered. First, an uncertainty measure, to account for both the interactions between the systems and all the uncertainties (including the uncertainties in the interactions), is derived for such systems. A local robust controller design approach, using this measure, is then proposed. Apart from the derivation of the uncertainty measure, the design of the controller for each local system is completely independent of each other, and is based on a nominal model of the corresponding local system, which does not require any knowledge of the interactions or the uncertainties. The approach, however, produces local controllers, which not only ensure stability and required performance of each nominal local system, but also robustly stabilize the overall actual system. The proposed approach is finally demonstrated by an example.

Keywords: Controller design, Robust control, Decentralized control, Interconnected systems, Time-delay systems, Distributed time delay

Pages: 317-325